Number Theory and its Applications

Satyabrota Kundu is presently working as Assistant Professor in the Department of Mathematics, Loreto College, Kolkata. Supriyo Mazumder is Assistant Professor in the Department of Mathematics, Adamas University, Kolkata.

1 Prerequisites 2 Theory of Divisibility 3 Prime Numbers 4 Theory of Congruences 5 Fermat’s Little Theorem 6 Arithmetic Functions 6.1 Introduction 7 Euler’s Generalization and _–function 145 8 Primitive Roots 9 Theory of Quadratic Residues 10 Integers of Special Forms 11 Continued Fractions 12 Few Non-Linear Diophantine Equations 13 Integers as Sums of Squares 14 Certain Applications on Number Theory